Graph 1 Graph 2 Graph 3 6- 4- 4- 2- Symmetry: Symmetry: Symmetry: х-ахis x-axis х-аxis у-аxis Cy-axis у-аxis origin origin Corigin none of these none of these Onone of these

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter1: Expressions And Functions
Section1.8: Interpreting Graphs Of Functions
Problem 2GP
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Question
for each graph, select all symmetries that apply.
Raid Takes Takeaway Own
O LINES
Determining if graphs have symmetry with respect to the x-axis,...
For each graph, select all symmetries that apply.
Graph 1
Graph 2
Graph 3
6.
4-
Symmetry:
Symmetry:
Symmetry:
х-ахis
x-axis
x-axis
Cy-axis
Cy-axis
Cy-axis
origin
origin
origin
none of these
none of these
none of these
Transcribed Image Text:Raid Takes Takeaway Own O LINES Determining if graphs have symmetry with respect to the x-axis,... For each graph, select all symmetries that apply. Graph 1 Graph 2 Graph 3 6. 4- Symmetry: Symmetry: Symmetry: х-ахis x-axis x-axis Cy-axis Cy-axis Cy-axis origin origin origin none of these none of these none of these
Expert Solution
Step 1

Graph 1

The function is f(x) = 3*sin(x), as maximum value is 3 and minimum value is - 3. As we can see that f(-x) = 3*sin(-x) = - 3*sinx = - f(x) 

Thus, f(x) is an odd function

This, f(x) is symmetric about origin. (3rd option) 

 

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